1995/07/29 by Damiano Anselmi, D. Anselmi · 1 citation
Physics and Astronomy · #Instanton #Physics of Superconductivity and Magnetism #Quantization (signal processing) #Quantum and Classical Electrodynamics #Quantum field theory #Quantum gravity #Relationship between string theory and quantum field theory #Renormalization #Topological Materials and Phenomena #Topological entropy in physics #Topological quantum field theory #Topological quantum number #hep-th
paper · pdf · doi:10.1088/0264-9381/14/5/010
published as Class.Quant.Grav. 14 (1997) 1015-1036 · 27 pages, 5 figures, LaTeX
arxiv created 1995/07/29 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Various aspects of the so-called topological embedding, a procedure recently proposed for quantizing a field theory around a non-discrete space of classical minima, are discussed and collected in a simple logical scheme. The possible physical implications are pointed out. The compatibility of the procedure with renormalization is illustrated in the case of the Yang - Mills theory expanded around instantons. The quantum topological properties of Yang - Mills instantons are re-derived in a simpler and illustrative way. Moreover, the general approach is applied to the free energy of the Ginzburg - Landau theory of superconductivity in the intermediate situation between type I and type II superconductors. The topological version of the theory is solved and the quantum topological sectors of the static vortices are classified.